Solution of Kirkwood-Salsburg equations for a one-dimensional lattice gas

Expressions are obtained for the lowest correlation functions directly from the Kirkwood-Salsburg equations for an infinite system of particles on a one-dimensional lattice with two-body nearest-neighbor interaction in certain external fields. The problem of finding the external field that makes the density oscillation near the wall uniform is considered.State University, Tyumen'. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 3, pp. 463–469, March, 1995.